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Summary: CONVERGENCE PROPERTIES OF MIXED-NORM
ALGORITHMS UNDER GENERAL ERROR
CRITERIA
Tareq Y. Al-Naffouri Azzedine Zerguine Maamar Bettayeb
Dept. of Physics
Stanford University KFUPM KFUPM
Stanford, CA 94305 Dhahran 31261 Dhahran 31261
Dept. of Electrical Eng. Dept. of Electrical Eng.
U.S.A Saudi Arabia Saudi Arabia
Abstract
The convergence properties of mixed-norm algorithms
as it applies to echo cancelers under general error criteria
is derived for correlated and identically distributed inputs.
The convergence analysis of this class of algorithms is car-
ried out using the linearization process of the error non-
linearities. Necessary and suficient conditions for conver-
gence are derived for the independent input case.
where f( e ( k ) )and g(e(k)) are the error nonlinearities,
W N ~and W F ~are the true impulse responses of the near-
end and far-end sections, respectively, and where P N and
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